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Finding the Third Proportional to 1,302,115 and 2,856,353

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Solution

The third proportional to 1,302,115 and 2,856,353 is: 6,265,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,115 : 2,856,353 = 2,856,353 : x
  2. Step 2: Convert to fraction form
    1,302,115/2,856,353 = 2,856,353/x
  3. Step 3: Cross multiply
    1,302,115x = 2,856,353 × 2,856,353
  4. Step 4: Simplify right side
    1,302,115x = 8,158,752,460,609
  5. Step 5: Solve for x
    x = 8,158,752,460,609/1,302,115
  6. Step 6: Final answer
    x = 6,265,769.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.